Interval estimation for conformance proportions of multiple quality characteristics

A conformance proportion is an important and useful index to assess industrial quality improvement. Statistical confidence limits for a conformance proportion are usually required not only to perform statistical significance tests, but also to provide useful information for determining practical significance. In this article, we propose approaches for constructing statistical confidence limits for a conformance proportion of multiple quality characteristics. Under the assumption that the variables of interest are distributed with a multivariate normal distribution, we develop an approach based on the concept of a fiducial generalized pivotal quantity (FGPQ). Without any distribution assumption on the variables, we apply some confidence interval construction methods for the conformance proportion by treating it as the probability of a success in a binomial distribution. The performance of the proposed methods is evaluated through detailed simulation studies. The results reveal that the simulated coverage probability (cp) for the FGPQ-based method is generally larger than the claimed value. On the other hand, one of the binomial distribution-based methods, that is, the standard method suggested in classical textbooks, appears to have smaller simulated cps than the nominal level. Two alternatives to the standard method are found to maintain their simulated cps sufficiently close to the claimed level, and hence their performances are judged to be satisfactory. In addition, three examples are given to illustrate the application of the proposed methods.     

Effects of Marriage and Children on Financial Risk Tolerance: A Synthesis of Family Development and Prospect Theory

Family development and prospect theory were used as a framework to predict variability in individuals' subjective financial risk tolerance within distinct family structures. Gender, age, and income were expected to interact with the main effects of family structure (marital status and children). Theory-generated hypotheses were examined in Study 1 (data from university housing respondents, n = 76) and Study 2 (the 1998 Survey of Consumer Finances, n = 4,305). One family structure main effect (child presence) was significant for investment risk tolerance in both studies. Family structure interactions (marital status × age and child × income) were significant for employment risk (Study 1), and child × age was significant for investment risk in Study 2.     

二元方程式F(x,y)=0确定的函数曲线渐近线的探讨

给出二元方程式F(x,y)=0确定的函数曲线渐近线的几个结果。     

椭圆轮廓的评定方法及其计算机模拟

给出了一个正确的数据处理方法,对已有的机械零件的椭圆轮廓的几何参数和线轮廓度误差评定理论的不足作了修正,并用计算机模拟方法对其进行了验证。     

数学分析中基本概念的教学

通过导数、数列极限、函数的连续性和函数项级数不一致收敛等概念的教学 ,阐明了数学分析中基本概念教学的重要性     

政府经济职能创新的路径选择

当前 ,在政府经济职能重新定位过程中 ,我们应特别关注以下三个问题 :产权保护制度、限政政府模式、社会风险承受能力。建立产权保护制度是政府经济职能重新定位的出发点 ;构建限政政府模式是社会主义市场经济的逻辑要求 ;以改革促稳定、建立良好的社会保障制度 ,从而提高社会风险承受能力 ,是为改革提供稳定社会基础的必经之途。按照这三方面的要求来创新政府经济职能 ,就可以使政府的经济职能基本上能够适应市场经济体制对它的客观要求     

关于丢番图逼近中的一个猜想(I)

证明了Cusich提出的猜想 (I) .对于任给的n个正整数a1,a2 ,… ,an 总存在一个实数x ,使得‖aix‖ 1n+ 1,i=1,2 ,…n成立 .其中‖x‖表示x到其最近整数的距离     

On the asymptotic normality of the L1- and L2-errors in histogram density estimation

The L₁ and L₂-errors of the histogram estimate of a density f from a sample X₁,X₂,…,Xn using a cubic partition are shown to be asymptotically normal without any unnecessary conditions imposed on the density f. The asymptotic variances are shown to depend on f only through the corresponding norm of f. From this follows the asymptotic null distribution of a goodness-of-fit test based on the total variation distance, introduced by Györfi and van der Meulen (1991). This note uses the idea of partial inversion for obtaining characteristic functions of conditional distributions, which goes back at least to Bartlett (1938).     

我国宪法与国际人权公约有关人权限制性规定之比较

有关人权限制的问题，我国宪法不论是文本还是理念，都与国际人权公约存在差异，因而产生两者之间的冲突和协调问题。我国宪法限权条款有待明确化、具体化，违宪审查制度有待建立。     

对合Quantale范畴中的定向极限

讨论了对合Quantale范畴中函子作用在上有界集上的定向极限,并且给出了该定向极限的具体结构,同时得到了定向极限为单渗漏的一个充分条件.